@misc{Pawłow_Irena_On_2011,
 author={Pawłow, Irena and Schimperna, Giulio},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2011},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={The paper addresses a class of Cahn-Hilliard equations characterized by a nonlinear diffusive dynamics and possibly containing an additional sixth order term. The existence of a weak solution to the sixth-order model in the case when the configuration potential of the system is of singular type, is discussesed. Then, the behavior of the solutions in the case when the sixth order term is let tend to 0 was investigated, proving convergence to solutions of the fourth order system in a special case, is studied. The fourth order system was examined by a direct approach and existence of a weak solution is shown under very general conditions by means of a fixed point argument.},
 title={On a Class of Cahn-Hilliard Models with Nonlinear Diffusion},
 type={Text},
 URL={http://www.rcin.org.pl/Content/197695/PDF/RB-2011-13.pdf},
 keywords={Równanie cahna-hilliarda, Cahn-hilliard equation, Nonlinear diffusion, Variational formulation, Existence theorem, Dyfuzja nieliniowa, Sformułowanie wariacyjne, Twierdzenie o istnieniu},
}